Atkin-Lehner |
2- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
128122h |
Isogeny class |
Conductor |
128122 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2598912 |
Modular degree for the optimal curve |
Δ |
-1281618693282624064 = -1 · 26 · 292 · 478 |
Discriminant |
Eigenvalues |
2- -2 -1 -4 2 -5 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,209809,-39963143] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2117:1] |
Generators of the group modulo torsion |
j |
42895631/53824 |
j-invariant |
L |
3.1793157341354 |
L(r)(E,1)/r! |
Ω |
0.14557482972758 |
Real period |
R |
0.60665932044184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998496545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128122l1 |
Quadratic twists by: -47 |